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Citrus2011 [14]
3 years ago
6

Which congruence theorem would complete the proof shown? SSS SAS ASA

Mathematics
2 answers:
Debora [2.8K]3 years ago
5 0

Answer:

ASA

C is correct

Step-by-step explanation:

We are given table of congruence of triangle.

1.  Given: DC || AB and AD|| BC

2.  If two lines are parallel then a tranversal line makes eight angles.

∠2=∠3 and ∠1=∠4   ( Alternate interior angle )

3 .  If one side is common in two figure then reflexive property use.

CA = CA             (Reflexive )

If we take two triangles ΔDAC and ΔCAB are congruent by above property.

ΔDAC ≅ ΔCAB by two angle and one side.

The property of congruence is ASA

4. ΔDAC ≅ ΔCAB  by  ASA

Hence, The 4th reason is ASA

IRINA_888 [86]3 years ago
3 0
The correct answer would be ASA
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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9
photoshop1234 [79]

Answer:

\large\boxed{y=\dfrac{7}{2}x-18}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

3x+4x=2y-9

7x=2y-9             <em>add 9 to both sides</em>

7x+9=2y       <em>divide both sides by 2</em>

\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}

Parallel lines have the same slope. Therefore we have the equation:

y=\dfrac{7}{2}x+b

Put the coordinates of the point (4, -4) to the equation:

-4=\dfrac{7}{2}(4)+b

-4=7(2)+b

-4=14+b       <em>subtract 14 from both sides</em>

-18=b\to b=-18

Finally we have the equation:

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